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On scaling laws of biosensors: A stochastic approach
被引:0
|作者:
Das, Shreepriya
[1
]
Vikalo, Haris
[1
]
Hassibi, Arjang
[1
]
机构:
[1] Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX 78712, United States
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We study the scaling laws of affinity-based biosensors. In particular;
we examine the implications of scaling on the response time;
signal-to-noise ratio (SNR);
and dynamic range (DR) of biosensor systems. Initially;
using stochastic differential methods and particularly Fokker-Planck (FP) equation;
we formulate the analyte capturing process and derive its uncertainty by computing the probability distribution function of the captured analytes as a function of time. Subsequently;
we examine the effects of scaling on the solution to the FP equation and the signal fluctuation;
which demonstrates that scaling down significantly reduces the achievable SNR and DR of biosensors. We argue that these results question the advantages of excessive miniaturization of biosensors;
especially the fundamental SNR limitation;
which transpire in the micro- and nanoregimes. © 2009 American Institute of Physics;
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